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Finding the Fourth Proportional to 693.27, 956.73 and 378.54

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Solution

The fourth proportional to 693.27, 956.73 and 378.54 is: 522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.27 : 956.73 = 378.54 : x
  2. Step 2: Convert to fraction form
    693.27/956.73 = 378.54/x
  3. Step 3: Cross multiply
    693.27x = 956.73 × 378.54
  4. Step 4: Simplify right side
    693.27x = 362,160.57
  5. Step 5: Solve for x
    x = 362,160.57/693.27
  6. Step 6: Final answer
    x = 522.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.